Sequences and Series

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Question 72

An industrial kiln's control system modulates the internal temperature, $T_n$ in degrees Celsius, at discrete time steps $n$ . The temperature sequence $T1,T2,T3,…T_1, T_2, T_3, \dots$ is defined by

T_{n+1} = 1800 - T_n

where $T_1 = 850$ is the initial temperature reading.

Find the value of

a.

(i) $T_2$

(ii) $T_{121}$

[3]

b.

$∑n=140(0.1Tn+5)\sum_{n=1}^{40} (0.1T_n + 5)$

[3]

Sequences and Series

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Question 72

An industrial kiln's control system modulates the internal temperature, $T_n$ in degrees Celsius, at discrete time steps $n$ . The temperature sequence $T1,T2,T3,…T_1, T_2, T_3, \dots$ is defined by

T_{n+1} = 1800 - T_n

where $T_1 = 850$ is the initial temperature reading.

Find the value of

a.

(i) $T_2$

(ii) $T_{121}$

[3]

b.

$∑n=140(0.1Tn+5)\sum_{n=1}^{40} (0.1T_n + 5)$

[3]

Sequences and Series

Question 72

Sequences and Series Questions

Sequences and Series

Question 72

Sequences and Series Questions